Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations

Joanna Janczewska

doi:10.1007/s12346-024-01033-9

Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations

Abstract

In this paper we study the generalized Lagrangian system with a small perturbation. We assume the main term in the system to have a maximum, but do not suppose any condition for perturbation term. Then we prove the existence of a periodic solution via Ekeland’s principle. Moreover, we prove a convergence theorem for periodic solutions of perturbed systems.

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Joanna Janczewska prof. dr hab.

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Articles

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artykuły w czasopismach

Published in:

Qualitative Theory of Dynamical Systems no. 23,
ISSN: 1575-5460

Language:

English

Publication year:

2024

Bibliographic description:

Janczewska J.: Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations// Qualitative Theory of Dynamical Systems -Vol. 23,iss. 4 (2024),

DOI: